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arXiv 2206.09673math.CA
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Sugeno-Lorentz空间的拓扑和拓扑线性性质

Topological and topological linear properties of the Sugeno-Lorentz spaces

Jun Kawabe

摘要:

Sugeno可积函数空间的性质与一般的Lebesgue可积函数空间的性质有很大的不同。本文的目的是进一步推进我们对Sugeno-Lorentz空间的研究,讨论了Sugeno-Lorentz空间的完备性和可分性。作为我们以前研究的继续,本文详细研究了Sugeno-Lorentz空间的一些基本拓扑性质和拓扑线性性质。

英文摘要:

The properties of the spaces of Sugeno integrable functions are quite different from those of the ordinary spaces of Lebesgue integrable functions. The purpose of the paper is to further advance our study of the Sugeno-Lorentz spaces, in which the completeness and separability of the spaces were discussed. As a continuation of our previous research, in this paper, some fundamental topological and topological linear properties of the Sugeno-Lorentz spaces are investigated in detail.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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